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Existence of Viscosity Solutions to a System of Hyperbolic Balance Laws
  
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KeyWord:System of hyperbolic balance laws  Viscosity solutions  The invariant region
Author NameAffiliation
Qingning Zhang Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
Min Cheng Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China 
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Abstract:
      In this paper, the existence of viscous solutions of a hyperbolic equilibrium law system derived from the nonlinear entropy moment closure of a dynamic equation is established. In addition, by using the natural entropy of the system, some higher order estimates of some viscosity solutions are obtained.